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Finding the Fourth Proportional to 19,876.19, 27,426.80 and 10,922.24

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Solution

The fourth proportional to 19,876.19, 27,426.80 and 10,922.24 is: 15,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.19 : 27,426.80 = 10,922.24 : x
  2. Step 2: Convert to fraction form
    19,876.19/27,426.80 = 10,922.24/x
  3. Step 3: Cross multiply
    19,876.19x = 27,426.80 × 10,922.24
  4. Step 4: Simplify right side
    19,876.19x = 299,562,187.90
  5. Step 5: Solve for x
    x = 299,562,187.90/19,876.19
  6. Step 6: Final answer
    x = 15,071.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.